Fumihiko Nomoto
(English page)
Mathematical Teacher at Institute of Science Tokyo High School
Papers and Preprints (Mathematics education)
Developing and Evaluating Mathematics Education Materials as a Basis for Industry and Science in High School, joint work with Takahiro Hamana and Hiroto Jitsukawa, 東京工業大学附属科学技術高等学校研究報告 19(2024), 45-54 (in Japanese).
身近な題材で数学的政策評価方法を指導する 「課題学習」導入教材の開発と実践, joint work with Keisuke Koyama, Rokusaburo Yamashiro, Kosuke Kashimura, Kei Okamoto, Kentaro Nagahara, Infomatio 19(2022) 1-12 (in Japanese).
2次曲線の有用性を実感できる授業の実践とその評価, 東京工業大学附属科学技術高等学校研究報告 16(2021), 45-54 (in Japanese).
総合から各教科への逆向き設計を促す教師教育用仮想授業ゲームの設計フレームワークの検討と実践, joint work with Toshiki Matsuda, Infomatio 18(2021), 1-12 (in Japanese).
高校数学教材としての数理ファイナンス入門, 東京工業大学附属科学技術高等学校研究報告 15 (2020), 47-65 (in Japanese).
Papers and Preprints (Mathematics)
Symmetric and Nonsymmetric Macdonald Polynomials via a Path Model with a Pseudo-crystal Structure, joint work with Cristian Lenart, Satoshi Naito and Daisuke Sagaki, arXiv:2210.14464
Tensor product decomposition theorem for quantum Lakshmibai-Seshadri paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths, joint work with Satoshi Naito and Daisuke Sagaki, arXiv:1803.01727, Journal of Combinatorial Theory A 169(2020).
Representation-theoretic interpretation of Cherednik-Orr's Recursion Formula for the specialization of nonsymmetric Macdonald polynomials at t = \infty, joint work with Satoshi Naito and Daisuke Sagaki, Transformation Groups 24 (2019) no.1, 155-191.
Generalized Weyl modules and Demazure submodules of level-zero extremal weight modules, arXiv:1701.08377v1.
Quantum Lakshmibai-Seshadri paths and the specialization of Macdonald polynomials at t=0 in type A^{(2)}_{2n}, arXiv:1606.01067v1.
Specialization of nonsymmetric Macdonald polynomials at t = \infty and Demazure submodules of level-zero extremal weight modules, joint work with Satoshi Naito and Daisuke Sagaki, arXiv:1511.07005v2, Trans. Amer. Math. Soc. 370 (2018), no. 4, 2739-3783.
An explicit formula for the specialization of nonsymmetric Macdonald polynomials at t = \infty , master thesis (in Japanese).
Academic background
Mar. 2013 - Bachelor of Science, Tokyo Institute of Technology
Mar. 2015 - Master of Science in Mathematics, Tokyo Institute of Technology
Mar. 2018 - Doctor of Science in Mathematics, Tokyo Institute of Technology
Employment
Teaching Assistant at Tokyo Institute of Technology (Apr. 2013 - Mar. 2017)
Part-time Lecturer at Jiyu Gakuen College (Apr. 2017 - Mar. 2019)
Part-time Lecturer at Shiba junior and senior high school (Apr. 2018 - Mar. 2019)
Part-time Lecturer at Tokyo Tech High School of Science and Technology(HST) (Apr. 2018 - Mar. 2019)
Teacher at Tokyo Tech High School of Science and Technology(HST) (Apr. 2019 - Sep. 2024)
(Concurrent) Part-time Lecturer at Tokyo Institute of Technology (Sep. 2022 -Sep. 2024)
Teacher at Institute of Science Tokyo High School (Oct. 2024-)
(Concurrent) Institute of Science Tokyo (Oct. 2024 - Dec. 2024)